Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered 72% of all the 200 questions. However, Owen answered 53.3% of the math questions correctly. If 45% of the questions were in math, what percent of history questions did Owen answer correctly? (Round to the nearest percent. Ignore the % symbol when entering your answer. For example, if the answer is 11.2%, enter 11. .)

Question

Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered  72% of all the 200 questions. However, Owen answered  53.3% of the math questions correctly. If  45% of the questions were in math, what percent of history questions did Owen answer correctly? (Round to the nearest percent. Ignore the  % symbol when entering your answer. For example, if the answer is  11.2%, enter 11. .)

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Calculate Owen's correct answers: Calculate the total number of questions Owen answered correctly. 72% of 200 questions = 0.72 * 200Calculate math questions: Perform the calculation from Step 1. 0.72 * 200 = 144 Owen answered 144 questions correctly in total.Calculate Owen's correct math answers: Calculate the number of math questions. 45% of 200 questions = 0.45 * 200Calculate history questions: Perform the calculation from Step 3. 0.45 * 200 = 90 There are 90 math questions.Calculate Owen's correct history answers: Calculate the number of math questions Owen answered correctly. 53.3% of 90 questions = 0.533 * 90Calculate percentage of correct history answers: Perform the calculation from Step 5. 0.533 * 90 = 47.97 Owen answered approximately 48 math questions correctly (rounding to the nearest whole number).Round the percentage: Calculate the number of history questions. Total questions - Math questions = History questions 200 - 90 = 110 There are 110 history questions.Calculate the number of history questions Owen answered correctly. Total correct answers - Correct math answers = Correct history answers 144 - 48 = 96 Owen answered 96 history questions correctly.Calculate the percentage of history questions Owen answered correctly. (96 / 110) * 100 = percentage of correct history answersPerform the calculation from Step 9. (96 / 110) * 100 ≈ 87.27 Owen answered approximately 87.27% of the history questions correctly.Round the percentage to the nearest whole number. 87.27% rounds to 87%.

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